Crossover from critical orthogonal to critical unitary statistics at the Anderson transition

TL;DR

This paper investigates a flux-controlled transition in level statistics at the Anderson transition, revealing a crossover from orthogonal to unitary symmetry classes that is scale-independent and characteristic of the critical ensemble.

Contribution

It introduces a novel flux-dependent crossover at the Anderson transition, highlighting the fundamental symmetry change in critical level statistics.

Findings

Critical level statistics differ by symmetry class

Aharonov-Bohm flux induces a scale-independent crossover

Critical ensemble exhibits unique flux-dependent behavior

Abstract

We report a novel scale-independent, Aharonov-Bohm flux controlled crossover from critical orthogonal to critical unitary statistics at the disorder induced metal insulator transition. Our numerical investigations show that at the critical point the level statistics are definitely distinct and determined by fundamental symmetries. The latter is similar to the behavior of the metallic phase known from random matrix theory. The Aharonov-Bohm flux dependent crossover is characteristic of the critical ensemble.